Contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes. Lecture Notes Collection FreeScience.info ID2227 Obtained from http://www.physics.uoguelph.ca/poisson/research/agr.pdf http://www.freescience.info/go.php?pagename=books&id=2227 Topics: General Relativity, "
Contenu: observateurs, espaces-temps et lois de la dynamique; Theorie de Newton de la gravitation; elements de calcul tensoriel en espace affine; elements de geometrie differentielle d'une variete; theories metriques de la gravitation; theorie d'Einstein de la gravitation ou relativite generale; corps massif et trou de ver statiques et a symetrie spherique; effondrement gravitationnel e trou noir a symetrie spherique; generalities sur le trous noirs; theorie linearisee de la relativite... Topics: General Relativity, "
In this condensed one-semester version of the usual differential geometry [Math 464] and general relativity and cosmology [Math 465] sequence of courses I will cover two main items: Mathematically, I will present an overview of differential geometry, also known as the theory of manifolds, (sometimes loosely known as non-Euclidean geometry or Riemannian geometry, but that is actually a more specialized topic). Physically, I will present an overview of the general relativity, also known as... Topics: General Relativity, "
The plan of the course is as follows. We will first review Special Relativity. It is assumed that you have a reasonable knowledge of this as well as tensors such as those encountered in Electromagnetism. We will review (or perhaps introduce) covariant index notation and spacetime. Next we will discuss Einstein's famous thought experiment and follow his logic that leads to the notion that, in the presence of gravity, spacetime is curved. We will then spend some time developing the mathematics... Topics: General Relativity, "
Contents: Summary of the theory of Special Relativity; The Eotvos experiment and the equivalence principle; The constantly accelerated elevator , Rindler space; Curved Coordinates; The affine connection, Reimann space; The metric tensor; The perturbative expansion and Einstein's law of gravity; The action principle; Special coordinates; Electromagnetism; The Schwarzshild solution; Mercury and light rays in the Schwarzshild metric; Generalized Schwarzshild solution; the Robertson-Walker metric;... Topics: General Relativity, "
Contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction; Lecture Notes Collection FreeScience.info ID2243 Obtained from http://www.physics.uoguelph.ca/poisson/research/postN.pdf http://www.freescience.info/go.php?pagename=books&id=2243 Topics: General Relativity, "
This book includes 21 papers written by 23 authors and co-authors. All papers included herein are produced by scholars from People’s Republic of China, except two papers written by Prof. L. Sapogin, V. A. Dzhanibekov, Yu. A. Ryabov from Russia, and by Prof. FlorentinSmarandache from USA. The editors hope that all these papers will contribute to the advance of scholarly research on several aspects of Special and General Relativity. This book is suitable for students and scholars interested in... Topics: scholarly research, General Relativity
A previous paper ( http://vixra.org/abs/1111.0111 ) makes some calculations from a quantum gravity theory and sketches a framework for further predictions. This paper defends in detail the lagrangian for quantum gravity, based on the theory in our earlier paper, by examining the simple physical dynamics behind general relativity and gauge theory. Topics: Quantum gravity, general relativity
A.d'Abro The Evolution of Scientific Thought - From Newton to Einstein ( 2nd.ed.) Dover Publications Inc. 1950 Acrobat 7 Pdf 23.1 Mb. Scanned by artmisa using Canon DR2580C + flatbed option ( 1 reviews ) Topics: Physics, General Relativity, Aether, Riemann
Feynmanâs relativistic path integral replaces the non-relativistic 1st quantization indeterminancy principle (required when using a classical Coulomb field in quantum mechanics) with a simple physical mechanism, multipath interference between small mechanical interactions. Each mechanical interaction is represented by a Feynman Moller scattering diagram (Fig. 1) for a gauge boson emitted by one charge to strike an effective interaction cross-section of the other charge, a cross-sectionl that... Topics: quantum gravity, general relativity, quantum field theory
Ray Optics, Fermat’s Principle, and Applications to General RelativelyAuthor: Volker Perlick Published by Springer Berlin Heidelberg ISBN: 978-3-540-66898-5 DOI: 10.1007/3-540-46662-2Table of Contents:Introduction to Part I Light propagation in linear dielectric and permeable media Light propagation in other kinds of media Introduction to Part II Ray-optical structures on arbitrary manifolds Ray-optical structures on Lorentzian manifolds Variational principles for rays Applications Topics: Light, Maxwell equations, General relativity (Physics)
bySamos Meeting on Cosmology, Geometry and Relativity (2nd : 1998 : Pythagorreon, Samos, Greece); Cotsakis, Spiro, 1963-; Gibbons, G. W
Mathematical and Quantum Aspects of Relativity and Cosmology: Proceeding of the Second Samos Meeting on Cosmology, Geometry and Relativity Held at Pythagoreon, Samos, Greece, 31 August–4 September 1998Author: Spiros Cotsakis, Gary W. Gibbons Published by Springer Berlin Heidelberg ISBN: 978-3-540-66865-7 DOI: 10.1007/3-540-46671-1Table of Contents:Global Wave Maps on Curved Space Times Einstein’s Equations and Equivalent Hyperbolic Dynamical Systems Generalized Bowen-York Initial Data The... Topics: General relativity (Physics), Cosmology, Space and time
Maxwell's equations of electromagnetism describe three dimensional electric and magnetic field line divergence and curl (rank 1 tensors, or vector calculus), but were compressed by Einstein by including those rank-1 equations as components of rank 2 tensors. However, Einstein did not express the electromagnetic force in terms of a rank-2 spacetime curvature. In order to unify or even compare the equations for two forces (gravity and electromagnetism), you need first to have them expressed in... Topics: Quantum gravity, Maxwell's equations, electromagnetism, general relativity
Einstein’s Enigma or Author: C. V. Vishveshwara Published by Springer Berlin Heidelberg ISBN: 978-3-540-33199-5 DOI: 10.1007/3-540-33200-6Table of Contents:The Bathtub The Stellar Bed The Casanova Connection Footprints of the Giants Cosmic Framework A Moving Experience The Fabric of Spacetime Grappling with Gravity Beetles on a Branch Tub Talk The First Solution and the Last Statement Sphere of Darkness The Voracious Whirlpool Dynamics of the Unique A Date With Dante Imprints of the Invisible... Topics: Black holes (Astronomy), General relativity (Physics), Gravitation
The approach to �nding exact solutions that has been taken so far has involved initially solving the �eld equations in the interaction region IV and then investigating the conditions under which these solutions can be considered as the result of collisions of plane waves. In this way, resulting solutions are found �rst and the initial conditions are obtained subsequently. In this chapter it is appropriate to return to the original problem of specifying the initial data and then attempting... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2788
The solutions of Khan and Penrose (1971) and of Szekeres (1970, 1972), discussed in Chapters 3 (and Section 8.2) and 9, describe the collision of plane gravitational waves with aligned linear polarization. It is convenient to consider separately in this chapter a number of other exact solutions that satisfy this same condition. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2784
Objectives: � To introduce the stress�energy tensor � Conservation laws in relativity Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/3154
In this book we will be considering one of the most obvious situations in which the e_ects of the non-linearity of Einstein�s equations will be manifest. We will be considering the interaction between two waves. By restricting our attention to somewhat idealized situations, it will be possible to describe some types of wave interaction in terms of exact solutions. Moreover, these solutions have a clear physical interpretation in terms of combinations of gravitational or electromagnetic waves... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2782
The colliding plane wave problem has been formulated in the previous chapters as a characteristic initial value problem with initial data speci�ed on two null hypersurfaces. At this point it is necessary to discuss the junction conditions between the four regions described in Figure 3.1, and particularly on the initial boundaries of region IV. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2802
In this chapter we will present an analysis of the colliding wave problem using a method that has become familiar in the study of stationary axisymmetric space-times. In this case the �eld is described in terms of a complex potential function that is referred to as the Ernst potential (see Ernst 1968a). This approach leads directly to various methods for generating further exact solutions. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2785
This paper includes a derivation of the �eld equations in the form given in Chapter 6, a general class of exact solutions which includes the two mentioned above as special cases, and a discussion of the singularities that arise. The purpose of this chapter is to discuss the properties of this general class of solutions. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2804
It is �nally appropriate to review a series of results which are related to the analysis of exact solutions describing the collision of plane waves in a �at background, which is the main subject of this book. The results described in this chapter di_er from those given in previous chapters in a variety of ways. A number of interesting results have been obtained using di_erent approaches, by considering the background in region I tobe non-�at, or by considering alternative gravitational... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2796
One of the �rst exact solutions of Einstein�s equations describing the mutual scattering of gravitational waves was that of Khan and Penrose (1971). This describes the collision and subsequent interaction of two plane impulsive gravitational waves and their subsequent interaction. Following this pioneering work, many more exact solutions have been obtained. However, the general character of almost all solutions that have subsequently been found is basically the same as that of the original... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2798
The purpose of this chapter is to consider in more detail some of the geometrical properties of space-times that contain plane waves. Part of the discussion here follows naturally from that at the end of the previous chapter. Here, some more general results of a geometrical nature will be considered, and an intuitive approach to the collision of plane waves will also be developed. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2800
It is not the purpose of this chapter to introduce or explain Einstein�s general theory of relativity, since the reader who is not already familiar with it is unlikely to gain much from this book. The main purpose here is simply to clarify the notation that will be used. It is also appropriate in this chapter to brie�y introduce the Newman�Penrose formalism which facilitates the geometrical analysis of the colliding plane wave problem and which will be used in Chapter 6 to derive the... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2794
It is the purpose of this chapter and the following one to review the exact solutions which describe colliding plane electromagnetic waves or combinations of gravitational and electromagnetic waves that are presently known. Since these space-times have two Killing vectors and an Ernst method can be used, there are a whole range of generating techniques that can be applied to obtain new classes of solutions. It is therefore not possible to review exact solutions without also reviewing the... Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2791
So far only solutions of the Einstein or Einstein-Maxwell equations have been considered. This has enabled the properties of colliding plane waves to be considered in the various cases in which the approaching waves were gravitational waves, pure electromagnetic waves, or combinations of both. A number of similar results have also been obtained for a variety of other sources. These will be reviewed in this chapter. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2795
In an important paper, Bell and Szekeres (1974) gave an exact solution which describes the collision and subsequent interaction of two electromagnetic plane waves. This solution, which appears to be remarkably simple, will be described in this chapter. Other exact solutions describing colliding electromagnetic waves will be described in Chapters 16 and 17, after more powerful techniques have been developed. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2789
The purpose of this article is to establish a relation between two gravitational anomalies, the Allais effect that occurs during solar eclipse and the General Relativityâs residual arc of the curvature of light during the same eclipse. There is a systematically observed deflection about 10 percent larger than the theoretical value of General Relativity which coincides with the âeclipse effectâ found by Maurice Allais. Topics: Allais effect, solar eclipse, residual arc, General Relativity
Spacetime: Foundations of General Relativity and Differential GeometryAuthor: Marcus Kriele Published by Springer Berlin Heidelberg ISBN: 978-3-540-66377-5 DOI: 10.1007/3-540-48354-3Table of Contents:Local theory of space and time Analysis on manifolds Space and time from a global point of view Pseudo-Riemannian manifolds General relativity Robertson-Walker cosmology Spherical symmetry Causality Singularity theorems Topics: Space and time, General relativity (Physics), Geometry, Differential
byRenn, Jürgen, 1956-; Janssen, M. (Michael); Schemmel, Matthias
The Genesis of General RelativityAuthor: Michel Janssen, John D. Norton, Jürgen Renn, Tilman Sauer, John Stachel Published by Springer Netherlands ISBN: 978-1-4020-3999-7 DOI: 10.1007/978-1-4020-4000-9Table of Contents:Introduction to Volumes 1 and 2: The Zurich Notebook and the Genesis of General Relativity Classical Physics In Disarray The First Two Acts Pathways out of Classical Physics Einstein's Zurich Notebook A Commentary on the Notes on Gravity in the Zurich Notebook What was... Topics: Einstein, Albert, 1879-1955, General relativity (Physics), Relativity (Physics)
Peter G. Bergmann The Riddle of Gravitation John Murray London 1968 Acrobat 7 Pdf 9.06 Mb. Scanned by artmisa using Canon DR2580C + flatbed option Topics: Physics, Astronomy, General Relativity, Event Horizon, Schwarzschild, Minkowski, Gravitational Waves
The paper entitled “The theory of everything and the big bang” attempts to explain the most mind bending realisation of all time known as “Unification”. Unification of all the forces, every law of physics in to one single-mathequation. This paper gives us a brief idea about how our universe works and also about the ideas that revolutionized the physics world- “General Relativity” and “Quantum physics” along with the new striking idea called “The String Theory.” Topics: General Relativity and Quantum Forces, Space, Time and Energy
A brief albeit general expose of of the Hilbert Action Principle applied to classical geometrodynamics with an eye on quantum geometrodynamics. A joint paper published with Volker Ziemann (who incidentally looked and acted like Albert Einstein when he was taking some undergrad courses with the author at UBC). First published in the UBC Physics Society Journal in March 1984. Topics: Lagrangian Field Theory, Classical Geometrodynamics, General Relativity, Pythagoras Publishing
The Principle of Least Action - Firstly, let�s get our notation right. Part of the power of the Lagrangian formulation over the Newtonian approach is that it does away with vectors in favour of more general coordinates. We start by doing this trivially. Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,... Source: http://www.flooved.com/reader/2712